If x(x+y)=1 then the value of 1/{x^3y^3}-x^3-y^3 is

RRB Junior Engineer Stage 1 Model Papers 1

Question : 3 of 100

Marks: +1, -0

x(x+y)=1

then the value of

1/{x^3y^3}-x^3-y^3

Solution:

xy(x+y)=1

⇒x+y=1/{xy}

Cubing both sides,

x^3+y^3+3xy(x+y)=1/{x^3y^3}

⇒x^3+y^3+3×1=1/{x^3y^3}

⇒1/{x^3y^3}-x^3+y^3=3

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